Intermediate Algebra (12th Edition)

by
Lial, Margaret L.; Hornsby, John; McGinnis, Terry

Published by
Pearson

ISBN 10:
0321969359

ISBN 13:
978-0-32196-935-4

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises: 41

Answer

$3z^{2}+wz-4w^{2}$

Work Step by Step

We are given the expression $(z-w)(3z+4w)$. We can find the product of this expression using the FOIL method.
First terms: $z\times 3z=3z^{2}$
Outer terms: $z\times4w=4wz$
Inner terms: $-w\times 3z=-3wz$
Last terms: $-w\times4w=-4w^{2}$
Adding together: $3z^{2}+4wz+(-3wz)+(-4w^{2})=3z^{2}+4wz-3wz-4w^{2}=3z^{2}+wz-4w^{2}$